46364290272 has 192 divisors, whose sum is σ = 137523778560. Its totient is φ = 15193930752.

The previous prime is 46364290253. The next prime is 46364290363. The reversal of 46364290272 is 27209246364.

46364290272 is a `hidden beast` number, since 4 + 636 + 4 + 2 + 9 + 0 + 2 + 7 + 2 = 666.

46364290272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23146423 + ... + 23148425.

It is an arithmetic number, because the mean of its divisors is an integer number (716269680).

Almost surely, 2^46364290272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46364290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68761889280).

46364290272 is an abundant number, since it is smaller than the sum of its proper divisors (91159488288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46364290272 is a wasteful number, since it uses less digits than its factorization.

46364290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 46364290272 in words is "forty-six billion, three hundred sixty-four million, two hundred ninety thousand, two hundred seventy-two".